Open AccessJournal Article
Space mapping and defect correction
David Echeverria,Piet Hemker +1 more
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TLDR
In this paper, the authors show that space-mapping optimization can be understood as a special case of defect correction iteration, and they introduce the new concept of flexibility of the underlying models.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2005-01-01 and is currently open access. It has received 168 citations till now. The article focuses on the topics: Preconditioner & Affine transformation.read more
Citations
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Journal Article
Space mapping
TL;DR: A generic space-mapping optimization algorithm is formulated, explained step-by-step using a simple microstrip filter example, and its robustness is demonstrated through the fast design of an interdigital filter.
Book ChapterDOI
Surrogate-Based Methods
TL;DR: This chapter briefly describes the basics of surrogate-based optimization, various ways of creating surrogate models, as well as several examples of surrogate -based optimization techniques.
Journal ArticleDOI
Multigrid Methods for PDE Optimization
Alfio Borzì,Volker Schulz +1 more
TL;DR: Research on multigrid methods for optimization problems is reviewed and problems considered include shape design, parameter optimization, and optimal control problems governed by partial differential equations of elliptic, parabolic, and hyperbolic type.
Journal ArticleDOI
Demystifying Surrogate Modeling for Circuits and Systems
TL;DR: The important point is that surrogate modeling has a solid mathematical basis leading to what has become a dramatic increase in the ability to develop engineering models and to engineer systems.
Journal ArticleDOI
Fast simulation-driven antenna design using response-feature surrogates
TL;DR: A computationally efficient procedure for electromagnetic (EM)‐simulation‐driven design of antennas is presented, based on local approximation models of the antenna response, established using a set of suitably selected characteristic features rather than the entire response.
References
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Journal ArticleDOI
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
TL;DR: This paper presents convergence properties of the Nelder--Mead algorithm applied to strictly convex functions in dimensions 1 and 2, and proves convergence to a minimizer for dimension 1, and various limited convergence results for dimension 2.
Journal ArticleDOI
A Class of Methods for Solving Nonlinear Simultaneous Equations
TL;DR: In this article, the authors discuss certain modifications to Newton's method designed to reduce the number of function evaluations required during the iterative solution process of an iterative problem solving problem, such that the most efficient process will be that which requires the smallest number of functions evaluations.
Journal ArticleDOI
Lipschitzian optimization without the Lipschitz constant
TL;DR: In this article, the Lipschitz constant is viewed as a weighting parameter that indicates how much emphasis to place on global versus local search, which accounts for the fast convergence of the new algorithm on the test functions.
Book
Field and wave electromagnetics
TL;DR: In this article, the authors consider boundary value problems in Cylindrical Coordinates and present a solution to the problem of boundary addition and subtraction in Cartesian Coordinates.